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Finding the Fourth Proportional to 18,617.91, 27,928.56 and 6,137.91

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Solution

The fourth proportional to 18,617.91, 27,928.56 and 6,137.91 is: 9,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617.91 : 27,928.56 = 6,137.91 : x
  2. Step 2: Convert to fraction form
    18,617.91/27,928.56 = 6,137.91/x
  3. Step 3: Cross multiply
    18,617.91x = 27,928.56 × 6,137.91
  4. Step 4: Simplify right side
    18,617.91x = 171,422,987.71
  5. Step 5: Solve for x
    x = 171,422,987.71/18,617.91
  6. Step 6: Final answer
    x = 9,207.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.